Question

If samples are from a normal distribution with \mu

μ

= 100 and \sigma

σ

= 10, all the following statements are true except

about 68% of the data are within 90 and 110.

almost all the data are within 70 and 130.

about 95% of the data are within 80 and 120.

about half the data exceed 60.

Answer #1

Mean () = 100

std. dev ()=10

By 68-95-99.7% Rule

about 68% of the data are within 90 and 110.>> True. Since area around 1 std dev around mean have around 68%

almost all the data are within 70 and 130. >> True, Since area around 3 std dev around mean have around 99.7%

about 95% of the data are within 80 and 120.True, Since area around 2 std dev around mean have around 95%

about half the data exceed 60. False because half og the data exceed mean value so 100

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